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Janiya Hyatt

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3y ago
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13y ago

Let the two integers be represented by a and b.

Then, ab = -21 and thus b = -21/a

And, a + b = 4

Substituting for b gives a - 21/a = 4

Multiplying throughout by a and equating to zero gives,

a2 - 4a - 21 = 0

This expression can be factored

a2 - 4a - 21 = (a + 3)(a - 7) = 0

Then when a + 3 = 0, a = -3

and when a - 7 = 0, a = 7

The two numbers are 7 and -3

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Q: What two integers multiply to make -21 and add to make 4?
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